Shintani functions on \(\mathrm{SL}(3,\mathbb R)\)

DOI10.1155/2011/842806zbMath1239.22013OpenAlexW1984502881WikidataQ58687961 ScholiaQ58687961MaRDI QIDQ763030

Keiju Sono

Publication date: 8 March 2012

Published in: International Journal of Mathematics and Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2011/842806

zbMATH Keywords

spherical principal series representationsCasimir operatorGauss's hypergeometric functionsShintani function

Mathematics Subject Classification ID

Representations of Lie and linear algebraic groups over local fields (22E50) Linear algebraic groups over local fields and their integers (20G25)

Related Items (2)

Unnamed Item ⋮ Symmetry breaking operators for strongly spherical reductive pairs

Cites Work

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• The Capelli identity, the double commutant theorem, and multiplicity-free actions
• Spherical functions on a real semisimple Lie group. A method of reduction to the complex case
• Shintani function and its application to automorphic \(L\)-functions for classical groups. I: The case of orthogonal groups
• Shintani functions and automorphic \(L\)-functions for \(GL(n)\)
• Shintani functions on $GL(2,{\mathbf {C}})$
• Spherical Functions for the Semisimple Symmetric Pair (Sp(2, ℝ), SL(2, ℂ))
• On an explicit formula for class-$1$ “Whittaker functions” on $GL_n $ over $\beta $-adic fields
• Shintani functions on $GL(2,\mathbf {R})$

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